Published September 1976
| public
Journal Article
Norms in quadratic fields and their relations to non commuting 2×2 matrices I
- Creators
- Taussky, Olga
Abstract
Let A be a fixed 2×2 integral matrix with irrational characteristic roots. Let B be an arbitrary 2×2 integral matrix. It was previously shown that -det (AB-BA) = norm λ, where λ is in the field of the characteristic roots of A. It is now shown that the λ's corresponding to varying B's can be chosen to form a fractional ideal in this field.
Additional Information
© 1976 Springer. (Received 31 October 1975) Dedicated to Prof. Dr. E. Hlawka on the occasion of his 60th birthday. This work was carried out (in part) under an NSF grant.Additional details
- Eprint ID
- 106019
- DOI
- 10.1007/bf01526330
- Resolver ID
- CaltechAUTHORS:20201013-104023229
- NSF
- Created
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2020-10-13Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field